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Q.

Savita has Rs.27 in the form of fifty paise and twenty-five paise coins. She has twice as many twenty-five paise coins as she has 50 paise coins. How many coins of each kind does she have?


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a

27,54

b

30,60

c

25,50

d

40,80 

answer is A.

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Detailed Solution

Concept- Let x be the quantity of 50 piastre coins and y be the quantity of 25 piastre coins. Given that y is twice as large as X, Y must equal 2X. Next, determine the total amount in rupees that is created by the 50 and 25 paise coins. To get the number of 25 paise and 50 paise coins, add these two sums and convert them to rupees (Rs. 27) .
Let x be the quantity of 50-paise coins.
So the number of 25 paise coins=2x
Amount with 50 paise coins=0.5x
Amount with 25 paise coins=0.5x
According to question 
0.5x+0.5x=27Or x=27
So the number of 50 paise coins=x=27
Or the number of 25 paise coins=2x=54 
Hence, the correct option is 1.
 
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